The number of cents per kilometer it costs to drive a car depends on how fast you drive it. At low speeds the cost is high because the engine operates inefficiently. At high speeds the cost is high because the engine must overcome high wind resistance. At moderate speeds the cost reaches a minimum. Assume that the number of cents per kilometer varies quadratically with the number of kilometers per hour.
A) Suppose that it costs 28,21, and 16 cents per kilometer to drive at 10,20, and 30 kph, respectively. Write the particular function to represent this situation.
B) How much would it cost to drive at 150 kph?
C) Between what two speeds must you drive to keep your cost at no more than 13 cents per kilometer?
C) Is it possible to spend only 10 cents per kilometer?
D) What is the optimum speed and how much per kilometer will it cost? What part of the function represents this function?
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